Final answer:
The intersection of GH and plane ADE is the set of points that both GH and plane ADE have in common. The actual intersection can vary depending on the positions of GH and plane ADE in space.
Step-by-step explanation:
The intersection of GH and plane ADE refers to the set of points that GH and plane ADE have in common. In order for a point to lie on both GH and plane ADE, it must satisfy the properties of both. In this case, GH is a line segment and plane ADE is a two-dimensional plane. The intersection can be a single point, a line, or even empty depending on the positions of GH and plane ADE in space.
For example, if GH lies completely inside plane ADE, the intersection would be GH itself. If GH lies parallel to plane ADE but does not intersect it, then the intersection would be empty. And if GH intersects plane ADE at a single point, then the intersection would be that point. Therefore, without further information about the specific positions of GH and plane ADE, it is not possible to determine the exact intersection of the two.